Q. Assuming that Pn is the nth prime number, establish each of the following statements:
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Q. Assuming that Pn is the nth prime number, establish each of the following statements:
(a) Pn > 2n - 1 for n >= 5.
(b) None of the integers Pn = P I P2 ···Pn + 1 is a perfect square.
[ Hint: Each Pn is of the form 4k+3 for n > l. ]
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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